College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 9 - Section 9.1 - Sequences - 9.1 Assess Your Understanding: 42

Answer

The first five terms are: $a_1= -2$ $a_2 = -4$ $a_3 = -9$ $a_4 = -23$ $a_5= -64$

Work Step by Step

Use the given recursive formula to find the next four terms: $a_1= -2$ $a_2 = 2+3a_1 = 2+3(-2)=2+(-6)=-4$ $a_3 = 3+3a_2=3+3(-4)=3+(-12)=-9$ $a_4 = 4+3a_3=4+3(-9)=4+(-27) = -23$ $a_5= 5+3a_4 = 5+3(-23)=5+(-69) = -64$
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